Self-Duality and a Hall-Insulator Phase Near the Superconductor-to-Insulator Transition in Indium-Oxide Films

Myles Steiner, Nicholas Breznay, Steven Kivelson, Aharon Kapitulnik

Research output: Contribution to journalArticlepeer-review

39 Scopus Citations

Abstract

We combine measurements of the longitudinal (ρxx) and Hall (ρxy) resistivities of disordered 2D amorphous indium-oxide films to study the magnetic-field tuned superconductor-to-insulator transition (H-SIT) in the T → 0 limit. At the critical field, Hc, the full resistivity tensor is T independent with ρxx(Hc) = h/4e2 and ρxy(Hc) = 0 within experimental uncertainty in all films (i.e., these appear to be "universal" values); this is strongly suggestive that there is a particle. vortex self-duality at H = Hc. The transition separates the (presumably) superconducting state at H < Hc from a "Hall-insulator" phase in which ρxx → ∞ as T → 0 whereas ρxy approaches a nonzero value smaller than its "classical value" H/nec; i.e., 0<ρxy < H/nec. A still higher characteristic magnetic field, Hz.ast;c > Hc, at which the Hall resistance is T independent and roughly equal to its classical value, ρxy ≈ H/nec, marks an additional crossover to a high-field regime (probably to a Fermi insulator) in which ρxy > H/nec and possibly diverges as T → 0. We also highlight a profound analogy between the H-SIT and quantum-Hall liquid-to-insulator transitions (QHIT).

Original languageAmerican English
Pages (from-to)280-285
Number of pages6
JournalProceedings of the National Academy of Sciences of the United States of America
Volume113
Issue number2
DOIs
StatePublished - 12 Jan 2016

NREL Publication Number

  • NREL/JA-5J00-65695

Keywords

  • Hall insulator
  • Quantum phase transition
  • Self-duality
  • Superconductor-insulator transition

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